We're dividing 113853 by 71 
We want to divide 113853 by 71.

Moving on to step 1:
71 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 71

Advancing to step 2:
11 divided by 71 is 0 with a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 71

Step 3:
When dividing 113 by 71, we get 1 with a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 71 from 113 to get 42.
Take the next digit (8) from the dividend and append it to 42, then repeat: 428 / 71

On to step 4:
The number 71 fits into 428 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 16.0
Subtract 426 from 428 to get 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 71

Step 5:
71 goes into 25 0 times with a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 160.0
Subtract 0 from 25 to get 25.
Include the next digit (3) from the dividend after 25, then repeat: 253 / 71

Step 6:
253 divided by 71 is 3 with a remainder of 40.
Record the quotient 3 as the next digit in the result. 
Result so far: 1603.0
If we subtract 213 from 253, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 7:
If we divide 400 by 71, we get 5 and a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 1603.5
Subtracting 355 from 400 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 8:
When dividing 450 by 71, we get 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 1603.56
If we take 426 away from 450, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 9:
If we divide 240 by 71, we get 3 and a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 1603.563
If we take 213 away from 240, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 10:
71 goes into 270 3 times with a remainder of 57.
Write down 3 as next digit of the result. 
Result so far: 1603.5633
Deduct 213 from 270 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

The final outcome is 1603.5633, with a leftover of 0.00057.